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Finding the Third Proportional to 31,808 and 73,275

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Solution

The third proportional to 31,808 and 73,275 is: 168,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 73,275 = 73,275 : x
  2. Step 2: Convert to fraction form
    31,808/73,275 = 73,275/x
  3. Step 3: Cross multiply
    31,808x = 73,275 × 73,275
  4. Step 4: Simplify right side
    31,808x = 5,369,225,625
  5. Step 5: Solve for x
    x = 5,369,225,625/31,808
  6. Step 6: Final answer
    x = 168,801.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.